JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Spring Pendulum

  • question_answer
    The frequency of oscillation of the springs shown in the figure will be     [AIIMS 2001; Pb. PET  2002]

    A)            \[\frac{1}{2\pi }\sqrt{\frac{K}{m}}\]

    B)            \[\frac{1}{2\pi }\sqrt{\frac{({{K}_{1}}+{{K}_{2}})m}{{{K}_{1}}{{K}_{2}}}}\]

    C)            \[2\pi \sqrt{\frac{K}{m}}\]

    D)            \[\frac{1}{2\pi }\sqrt{\frac{{{K}_{1}}{{K}_{2}}}{m({{K}_{1}}+{{K}_{2}})}}\]

    Correct Answer: D

    Solution :

               \[n=\frac{1}{2\pi }\sqrt{\frac{{{k}_{eq}}}{m}}=\frac{1}{2\pi }\sqrt{\frac{{{k}_{1}}{{k}_{2}}}{({{k}_{1}}+{{k}_{2}})m}}\]


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